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Finding the Third Proportional to 47,175,135 and 100,908,381

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Solution

The third proportional to 47,175,135 and 100,908,381 is: 215,844,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,175,135 : 100,908,381 = 100,908,381 : x
  2. Step 2: Convert to fraction form
    47,175,135/100,908,381 = 100,908,381/x
  3. Step 3: Cross multiply
    47,175,135x = 100,908,381 × 100,908,381
  4. Step 4: Simplify right side
    47,175,135x = 10,182,501,356,041,160
  5. Step 5: Solve for x
    x = 10,182,501,356,041,160/47,175,135
  6. Step 6: Final answer
    x = 215,844,668.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.